40134563144057 has 2 divisors, whose sum is σ = 40134563144058. Its totient is φ = 40134563144056.

The previous prime is 40134563144033. The next prime is 40134563144077. The reversal of 40134563144057 is 75044136543104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39259485216121 + 875077927936 = 6265739^2 + 935456^2 .

It is a cyclic number.

It is not a de Polignac number, because 40134563144057 - 2²⁸ = 40134294708601 is a prime.

It is a super-2 number, since 2×40134563144057² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40134563144077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20067281572028 + 20067281572029.

It is an arithmetic number, because the mean of its divisors is an integer number (20067281572029).

Almost surely, 2^{40134563144057} is an apocalyptic number.

It is an amenable number.

40134563144057 is a deficient number, since it is larger than the sum of its proper divisors (1).

40134563144057 is an equidigital number, since it uses as much as digits as its factorization.

40134563144057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 47.

The spelling of 40134563144057 in words is "forty trillion, one hundred thirty-four billion, five hundred sixty-three million, one hundred forty-four thousand, fifty-seven".